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Finding the Fourth Proportional to 166,291.44, 229,471.60 and 90,840

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Solution

The fourth proportional to 166,291.44, 229,471.60 and 90,840 is: 125,353.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,291.44 : 229,471.60 = 90,840 : x
  2. Step 2: Convert to fraction form
    166,291.44/229,471.60 = 90,840/x
  3. Step 3: Cross multiply
    166,291.44x = 229,471.60 × 90,840
  4. Step 4: Simplify right side
    166,291.44x = 20,845,200,144
  5. Step 5: Solve for x
    x = 20,845,200,144/166,291.44
  6. Step 6: Final answer
    x = 125,353.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.